Dynamics of vortex cap solutions on the rotating unit sphere

C Garcia, Z Hassainia, E Roulley - Journal of Differential Equations, 2025 - Elsevier
In this work, we analytically study the existence of periodic vortex cap solutions for the
homogeneous and incompressible Euler equations on the rotating unit 2-sphere, which was …

Analysis of Sasa–Satsuma equation with beta fractional derivative using extended (G′ G2)-expansion technique and (exp (− ϕ (ξ)))-expansion technique

S Arshed, M Sadaf, G Akram, MM Yasin - Optik, 2022 - Elsevier
This research explores a particular form of higher order fractional nonlinear Schrödinger
equation termed as the fractional Sasa–Satsuma (FSS) equation. The suggested model has …

Radially expanding/contracting and rotating sphere with suction

M Turkyilmazoglu - International Journal of Numerical Methods for …, 2022 - emerald.com
Purpose This study aims to numerically simulate the flow induced by a radially
expanding/contracting and rotating sphere with suction. In the absence of rotation, one …

Influence of magnetic field in the control of Taylor column phenomenon in the translation of a sphere in a rotating fluid

S Sarkar, B Sahoo, TVS Sekhar - Physics of Fluids, 2021 - pubs.aip.org
A numerical investigation has been performed to capture how the magnetic field interferes
with Taylor column—a spectacular phenomenon occurring as a result of the Coriolis effect …

On the numerical capture of Taylor column phenomena in rotating viscous fluid

B Sahoo, S Sarkar, R Sivakumar, TVS Sekhar - European Journal of …, 2021 - Elsevier
Over the years, a number of researchers have explored the possibilities of capturing the
fantastic Taylor column phenomena numerically. However, comprehensive satisfactory …

Dynamics of vortex cap solutions on the rotating unit sphere

Z Hassainia, C García, E Roulley - Available at SSRN 4695460 - papers.ssrn.com
In this work, we analytically study the existence of periodic vortex cap solutions for the
homogeneous and incompressible Euler equations on the rotating unit $2 $-sphere, which …

[引用][C] Modeling of Jet Streams and Polar Vortex on a Rotating Sphere